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Finding the Third Proportional to 19,314.25 and 40,704.13

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Solution

The third proportional to 19,314.25 and 40,704.13 is: 85,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.25 : 40,704.13 = 40,704.13 : x
  2. Step 2: Convert to fraction form
    19,314.25/40,704.13 = 40,704.13/x
  3. Step 3: Cross multiply
    19,314.25x = 40,704.13 × 40,704.13
  4. Step 4: Simplify right side
    19,314.25x = 1,656,825,792.02
  5. Step 5: Solve for x
    x = 1,656,825,792.02/19,314.25
  6. Step 6: Final answer
    x = 85,782.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.